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Simplifying 6x + 3y + 8z + -2x + 4z + -7y = 0 Reorder the terms: 6x + -2x + 3y + -7y + 8z + 4z = 0 Combine like terms: 6x + -2x = 4x 4x + 3y + -7y + 8z + 4z = 0 Combine like terms: 3y + -7y = -4y 4x + -4y + 8z + 4z = 0 Combine like terms: 8z + 4z = 12z 4x + -4y + 12z = 0 Solving 4x + -4y + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 4x + -4y + 4y + 12z = 0 + 4y Combine like terms: -4y + 4y = 0 4x + 0 + 12z = 0 + 4y 4x + 12z = 0 + 4y Remove the zero: 4x + 12z = 4y Add '-12z' to each side of the equation. 4x + 12z + -12z = 4y + -12z Combine like terms: 12z + -12z = 0 4x + 0 = 4y + -12z 4x = 4y + -12z Divide each side by '4'. x = y + -3z Simplifying x = y + -3z
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